Diffusion on the torus for Hamiltonian maps
โ Scribed by S. Siboni; G. Turchetti; S. Vaienti
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 746 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0022-4715
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๐ SIMILAR VOLUMES
We investigate linear parabolic maps on the torus. In a generic case these maps are non-invertible and discontinuous. Although the metric entropy of these systems is equal to zero, their dynamics is non-trivial due to folding of the image of the unit square into the torus. We study the structure of
## Abstract In this article, we shall prove that every bipartite quadrangulation __G__ on the torus admits a simple closed curve visiting each face and each vertex of __G__ exactly once but crossing no edge. As an application, we conclude that the radial graph of any bipartite quadrangulation on th